Range, Mean deviation and Standard deviation
Range: The range is the difference between the highest and lowest values in a set of data. It provides an idea of the spread and variability of the data....
Range: The range is the difference between the highest and lowest values in a set of data. It provides an idea of the spread and variability of the data....
Range:
The range is the difference between the highest and lowest values in a set of data. It provides an idea of the spread and variability of the data.
Mean Deviation:
The mean deviation is a measure of how close the data points are to the mean. It is calculated by finding the average difference between each data point and the mean, and then taking the average of these differences.
Standard Deviation:
The standard deviation is a measure of how spread out the data is. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean.
Examples:
Range: Suppose we have the following data set: 10, 15, 20, 25, 30. The range would be 15 - 10 = 5.
Mean Deviation: If we have the following data set: 5, 10, 15, 20, 25, the mean deviation would be (5 - 10) + (10 - 15) + (15 - 20) + (20 - 25) + (25 - 30) = 5.
Standard Deviation: If we have the following data set: 10, 15, 20, 25, 30, the standard deviation would be square root of [(5 - 10)^2 + (10 - 15)^2 + (15 - 20)^2 + (20 - 25)^2 + (25 - 30)^2] = 5